Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.
Answer:
45th term is 85
Step-by-step explanation:
We use the definition of the nth term of an arithmetic sequence:
[tex]a_n=a_1+(n-1)\,d[/tex]
which for our case gives:
[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]
find the average rate of change of
f(x) on the interval
The average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex]
How to Find the Average Rate of Change?Given the function, f(x) = 1/(x + 12), the average rate of change of f(x) on the interval, [7, 7 + h], can be calculated using the formula:
Average rate of change = f(b) - f(a)/b - a.
a = 7
f(a) = f(7) = 1/(7 + 12) = 1/19
b = 7 + h
f(b) = f(7 + h) = 1/(7 + h + 12) = 1/(h + 19)
Plug in the values into the average rate of change formula
Average rate of change = 1/(h + 19) - 1/19 ÷ 7 + h - 7
Average rate of change = [19 - (h + 19)]/19(h + 19) ÷ h
Average rate of change = (19 - h - 19)/19(h + 19) × 1/h
Average rate of change = -h/19(h + 19) × 1/h
Average rate of change = -1/19(h + 19) × 1/1
Average rate of change = [tex]\frac{-1}{19(h + 19)}[/tex]
Therefore, the average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex].
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convert 4.7 in. to centimeters and round to the nearest tenth
Answer:
11.9 cm
Step-by-step explanation:
1 in ≈ 2.54 cm
4.7 in ≈ 2.54(4.7) cm
2.54(4.7) = 11.938 cm
11.938 cm rounded to the nearest tenth is 11.9 cm.
Answer: 11.9
Step-by-step explanation:
The conversion rate is 1 inch to 2.54 centimeters. Using this we can setup the equation [tex]4.7 in * \frac{2.54 cm}{1 in}[/tex]. The inches units will cancel and you will end up with 11.938 cm. Rounded to the nearest tenth and you get 11.9.
True or False
Reject the null hypothesis if the p-value is more than the significance level, a.
Answer:
true
Step-by-step explanation:
Reject the null hypothesis if the p-value is more than the significance level, a.
A jeweler makes an ocean-inspired necklace using a total of 60 snails shells and shark teeth. The ratio of snail shells to shark teeth is 5:1. How many snail shells does he use?
Please help fast
Given that,
Total number of snails shells and shark teeth = 60
The ratio of snail shells to shark teeth is 5:1
To find,
Total no of snail shells used by the Jeweler.
Solution,
Let there are 5x snail shells and x shark shells.
According to question,
5x+x = 60
6x = 60
x = 10
Snail shell = 5x
= 5(10)
= 50
Hence, he uses 50 snail shells.
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
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One side of a rectangle is 7 millimeters shorter than twice another side. Find the length of the longer side if we also know that the perimeter of the rectangle is 70 millimeters.
Answer:
What are the outstanding traditional Chinese culture? Calligraphy, Chinese knot, Peking Opera facial makeup, shadow play, martial arts, the Terra Cotta Warriors, jade carving, oracle, four treasures, flute, zither, pipa, longfeng pattern, painted pottery, traditional Chinese painting, modest, courteous and simple basic spirit of Chinese traditional culture" The basic spirit of Chinese traditional culture, in essence, is the national spirit of the Chinese nation.
You will be a hero!
The listing price for Candy Cane Creek is $864, 550. But your houses aren’t selling!! You decide to DROP the list price by 10%. What is the NEW listing price?
Answer: It's me again ;) The answer is 778,095
Step-by-step explanation: Find 90% of 864,550.
Answer:
I found out there has to be more than one answer to mark someone brainliest so this is me from another account!
Step-by-step explanation:
Original: $0.95, Markup: 60%
Answer:
$0.57
Step-by-step explanation:
.95 x .60 = .57
answer here literally 5th grade math (kinda not math just logic)
Answer:
Sophia: Deep Ocean, Heather: Soft Sky, Mia: Peacock Feathers
Step-by-step explanation:
If the first statement is true:
Sophia DID choose Peacock FeathersSophia DID choose Deep OceanHeather DID choose Deep OceanHeather DID choose Soft SkyIf the second statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID NOT choose Deep OceanHeather DID NOT choose Deep OceanHeather DID NOT choose Soft SkyIf the third statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID choose Deep OceanHeather DID NOT choose Deep OceanHeather DID choose Soft SkyIf the fourth statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID choose Deep OceanHeather DID choose Deep OceanHeather DID NOT choose Soft SkyOut of all of these, only the third statement has no doubles.
will give brainliest no one is helping me:(
9514 1404 393
Answer:
see below for instructions
Step-by-step explanation:
You will need to do these constructions yourself. We cannot put marks on your paper for you.
The instructions below apply to part 3. A subset of the instructions applies to parts 1 and 2. The tools you need are a compass and a straightedge.
__
1. Draw line AB, and mark point X on it.
2. Choose a suitable radius for your compass and draw arcs with that radius centered at X. Label the points of intersection with line AB points E and G.
__
From here, the instructions are the same for constructing a perpendicular bisector of any segment. In what follows, we are construction the perpendicular bisector of segment EG. Thus, these instructions apply directly to parts 1 and 2. Points E and G will refer to the end points of the segment you are bisecting.
3. Set your compass radius to more than half the distance between points E and G.
4. Draw an arc centered at E that extends above and below the center of segment EG.
5. Using the same radius, draw arcs centered at G that cross the arc you drew in step 4. Label the points of intersection point P and Q.
6. Draw line segment PQ. This is the perpendicular bisector of EG. (For part 3, it will go through point X.)
__
In the attached, we show the "arcs" as full circles. They need not be. They only need to have sufficient length to make sure they cross where they need to cross.
How you express A fifth of books in my collection and two thirds of the books in my father's collection make 250 books
Answer:
Step-by-step explanation:
Let collections of my books=x
collection of books in my father =y
[tex]\frac{x}{5} +\frac{2}{3}y=250[/tex]
6 2/3 divided by 1 1/2 =
Answer:
1 7/33
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
203÷112
Applying the fractions formula for division,
=20×23×11
=4033
Simplifying 40/33, the answer is
=1733
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55. withdrawal $-25 deposit $125 withdrawal -$50 deposit $25
Answer:
90
.......................................
If AABC = ADEC,
ZB = 2x + 31 and ZE = 7x - 24
D
B
E
x= [ ? ]
Answer:
/_ b = /_ e
2x + 31 = 7x - 24
5x = 55
x = 11
Step-by-step explanation:
Can someone help me?
Answer:
A. Is true
B. Is true
C. False
Step-by-step explanation:
Communism
An 11 pound turkey costs
$15.00, while the 20 pound
turkey is on sale for $25.00.
Which is the better buy?
Answer:
11 pound turkey
Answer:
the 11 pound turkey its not that expensive than the other one
1. Miss L wants to buy a new car. If the car
payments are $500 a month, how much will she
spend a year on her car?
Answer:
6,000
Step-by-step explanation:
500x12
A TV has a listed price of 659.99$ before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included
Answer:
714.439
Step-by-step explanation:
You multiply 659.99 • 1.0825
The 1 is so that you don’t have to add later. The .0825 is your percentage. Hope this helps.
2
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of
3
9514 1404 393
Answer:
Q'(-6, 9), R'(-9, 3), T'(6, -3), W'(6, 12)
Step-by-step explanation:
Each of the individual coordinate values is multiplied by 3.
(x, y) ⇒ (3x, 3y)
__
Q(-2, 3) ⇒ Q'(-6, 9)
R(-3, 1) ⇒ R'(-9, 3)
T(2, -1) ⇒ T'(6, -3)
W(2, 4) ⇒ W'(6, 12)
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Subtract 2.
Add 2.
Add 3.
Subtract 3
please answer its worth 13 points
The formula to determine energy is E = 1/2mw? What is the formula solved for v?
Answer:
The formula to determine energy is E = 1/2mw? What is the formula solved for v?
Step-by-step explanation:
The formula to determine energy is E = 1/2mw? What is the formula solved for v?
Five times the difference of a number and 7.
Answer:
Hello.
5(x-7)
5x-35
The equation is 5x-35.
Step-by-step explanation:
four students set up a lemonade stand at the neighborhood park at the end of the summer their profit is $1752 how much money do they each have when the profit is split equally
Answer:
1752 ÷ 4 = 438
$438 is your answer
1 triangle ABC was dilated by a scale factor of 2 centered at the origin of the result was as image of triangle A'B'C shown on the coordinate plane below the vertices of triangle A'b'c' are -4,4 -4,6 and 2,4 what are the coordinates of the vertices ABC
Answer:
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Step-by-step explanation:
Dilation About the Origin
Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).
If we are given the dilated point, then we can find the original point by dividing by the scale factor.
Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).
The coordinates of triangle ABC are:
A=(-4/2,4/2) = (-2,2)
B=(-4/2,6/2) = (-2,3)
C=(2/2,4/2) = (1,2)
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Answer:
The coordinates of ABC are (-2,2), (-2,3), and (1,2).
Step-by-step explanation:
What is the solution to the equation?
2/3 a - 1/6 = 1/3
Answer:
a = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
When working with fractions, I would mostly like to make the denominators the same first.
[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Make all the denominators 6.
[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Isolate [tex]\frac{4}{6}[/tex]a.
[tex]\frac{4}{6}[/tex]a = [tex]\frac{2}{6}[/tex] + [tex]\frac{1}{6}[/tex]
= [tex]\frac{3}{6}[/tex]
Find a.
[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]
a = [tex]\frac{3}{4}[/tex]
Abram and Fred leave opposite ends of a bike trail 12 miles apart and travel toward each other. Abram is traveling 8 mph faster than Fred. Find each of their speeds if they meet after 30 minutes.
The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 208 feet. Find the length of the garden.
Answer:
The Length is 56 feet
Step-by-step explanation:
w + w + 8 + w + 8 + w = 208 (two sides have a width of w and 2 sides have the length of 8 + w)
Combine the w/s and the 8's
4w + 16 = 208 Subtract 16 from both sides of the equation
4w = 192 Divide both sides by 4
w = 48 The width is 48 feet. That means that the length is 8 feet longer or 56 feet.
Check:
48 + 48 + 56 + 56 = 208
208 = 208
Go step by step to reduce the radical. √192
Answer: 8√3.
Step-by-step explanation:
First, look for any perfect squares that can fit into 192 snugly.
If we look for factors of 192, we can discover that the largest perfect square that can fit into it is 64 (and 3).
The √ of 64 is 8.
The √ of 3 cannot be simplified any further.
Thus, leaving us with our answer of 8√3.
Determine whether the triangle with the given side lengths is acute, right, obtuse or not a triangle; 21, 28, 25
A. acute
B. right
C. obtuse
D. not a triangle
Answer:
a
Step-by-step explanation:
acute